@inproceedings{62a1ca42c7784210b41426ca764c87aa,
title = "A Monte Carlo synthetic acceleration method for the non-linear, time-dependent diffusion equation",
abstract = "We present a Monte Carlo synthetic-acceleration method for solving the time-dependent, nonlinear, equilibrium diffusion equation in three-dimensions. The new scheme uses the adjoint Monte Carlo method as a relaxation step that accelerates standard Jacobi iteration. Results show that this method is 40\% faster than regular Jacobi iteration and is competitive with Jacobi-preconditioned Conjugate Gradient methods. Furthermore, the new method is not limited to symmetric, positive-definite systems, and therefore, it can be used for non-symmetric systems. Such systems arise in fully coupled, nonlinear-consistent (Newton) solvers.",
keywords = "Linear solvers, Monte Carlo, Radiation diffusion, Synthetic acceleration",
author = "Evans, \{T. M.\} and Mosher, \{S. W.\}",
year = "2009",
language = "English",
isbn = "9781615673490",
series = "American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009",
pages = "1361--1370",
booktitle = "American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009",
note = "International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 ; Conference date: 03-05-2009 Through 07-05-2009",
}